What is the Greatest Common Factor of 75408 and 75417?

Greatest common factor (GCF) of 75408 and 75417 is 3.

GCF(75408,75417) = 3

We will now calculate the prime factors of 75408 and 75417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75408 and 75417.

How to find the GCF of 75408 and 75417?

We will first find the prime factorization of 75408 and 75417. After we will calculate the factors of 75408 and 75417 and find the biggest common factor number .

Step-1: Prime Factorization of 75408

Prime factors of 75408 are 2, 3, 1571. Prime factorization of 75408 in exponential form is:

75408 = 2⁴ × 3¹ × 1571¹

Step-2: Prime Factorization of 75417

Prime factors of 75417 are 3, 23, 1093. Prime factorization of 75417 in exponential form is:

75417 = 3¹ × 23¹ × 1093¹

Step-3: Factors of 75408

List of positive integer factors of 75408 that divides 75408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1571, 3142, 4713, 6284, 9426, 12568, 18852, 25136, 37704

Step-4: Factors of 75417

List of positive integer factors of 75417 that divides 75408 without a remainder.

1, 3, 23, 69, 1093, 3279, 25139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75408 and 75417. The biggest common factor number is the GCF number.
So the greatest common factor 75408 and 75417 is 3.

Also check out the Least Common Multiple of 75408 and 75417